Does Anyone Know The Answer To This?

Question

Susan is buying three different colors of tiles for her kitchen floor. She is buying 25 more red tiles than beige tiles, and three times as many navy-blue tiles as beige tiles. If Susan buys 435 tiles altogether, how many tiles of each color does she buy?

It's an Algebra question from my homework!

Answer 1

o.k. here you go.

First thing that you want to do is write an equation to the problem. You are working with tiles, so that will be our unit. Now, let's state the obvious.

Susan has 25 more red tiles than beige tiles.
Susan has 3 times as many navy blue tiles than beige tiles.
Susan has 435 total tiles.

So let's write an equation.....

Let the number of beige tiles equal x since we are trying to find the number of beige tiles.
Then, the number of navy tiles would be 3x since there are three times as many navy tiles as there are beige tiles.
Finally, the red tiles would be x +25 since there are 25 more red tiles than beige tiles.

So your equation would be: beige + navy + red= 435
or x + 3x + x + 25= 435.

Now to solve:
1. combine the like terms.
x + 3x + x = 5x
2. so now we have 5x + 25 = 435
3. get the x by itself on one side of the equation.
(subtract 25 from both sides of the equation)
4. now we have: 5x = 415
5. now we have to solve for x, so we must divide both sides of the equation by 5.
6. The answer to the problem if you have done it right should be that Susan has bought 83 beige tiles, 108 red tiles and 249 navy blue tiles.
7. To figure out how many tiles Susan bought of each color:
we know that she has 83 beige tiles, which was our x up above. So now we just have to plug in the numbers where x was before.
Navy blue was 3x, so 83 times 3 = 249
Red was x + 25, so 83 + 25 = 108


Hope that this has helped! Feel free to contact me for more algebra help if you need it, I am willing to help out! Just ask my boss at the Tutoring Center where I work, haha! Best Wishes!

Answer 2

Let the number of beige tiles be x.
The number of red tiles is x+25.
The number of navy blue tiles is 3x.
Add them together to get x+(x+25)+3x=435.
Simplify. 5x+25=435
5x=435-25 or 410
x=410/5 or 82

The number of beige tiles is 82.
The number of red tiles is 82+25 or 107.
And the number of navy blue tiles is 3x82 or 246.
Add 82+107+246=435.

That is one scary looking floor.

Answer 3

r=b+25
n=3*b
B+R+N=435

B+B+25+3B=435
5B=410
410/5=82
82 Beige
246 Navy
107 Red

Answer 4

I give up. How many???